StdRegions.hpp

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///////////////////////////////////////////////////////////////////////////////
//
// File StdRegions.hpp
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description: Definition of enum lists and constants
//
///////////////////////////////////////////////////////////////////////////////
 
#ifndef STDREGIONS_HPP
#define STDREGIONS_HPP
 
#include <LibUtilities/BasicUtils/ShapeType.hpp>
#include <LibUtilities/BasicUtils/SharedArray.hpp> // for Array, etc
#include <map>
 
namespace Nektar
{
 
/** \brief The namespace associated with the the StdRegions library
 * (\ref pageStdRegions "StdRegions introduction")
 */
namespace StdRegions
{
enum ElementType
{
    // eStdPointExp,
    eStdSegExp,
    eSegExp,
    eStdQuadExp,
    eStdTriExp,
    eStdNodalTriExp,
    eQuadExp,
    eTriExp,
    eNodalTriExp,
    eStdHexExp,
    eStdPrismExp,
    eStdPyrExp,
    eStdTetExp,
    eStdNodalTetExp,
    eHexExp,
    ePrismExp,
    ePyrExp,
    eTetExp,
    eNodalTetExp,
    SIZE_ElementType
};
 
const char *const ElementTypeMap[] = {
    //"StdPointExp",
    "StdSegExp", "SegExp",    "StdQuadExp",     "StdTriExp", "StdNodalTriExp",
    "QuadExp",   "TriExp",    "NodalTriExp",    "StdHexExp", "StdPrismExp",
    "StdPyrExp", "StdTetExp", "StdNodalTetExp", "HexExp",    "PrismExp",
    "PyrExp",    "TetExp",    "NodalTetExp",
};
 
/** @todo we need to tidy up matrix construction approach
 *  probably using a factory type approach                 */
enum MatrixType
{
    eMass,
    eMassGJP,
    eInvMass,
    eLaplacian,
    eLaplacian00,
    eLaplacian01,
    eLaplacian02,
    eLaplacian10,
    eLaplacian11,
    eLaplacian12,
    eLaplacian20,
    eLaplacian21,
    eLaplacian22,
    eInvLaplacianWithUnityMean,
    eWeakDeriv0,
    eWeakDeriv1,
    eWeakDeriv2,
    eWeakDirectionalDeriv,
    eMassLevelCurvature,
    eLinearAdvectionReaction,
    eLinearAdvectionDiffusionReaction,
    eNBasisTrans,
    eInvNBasisTrans,
    eBwdTrans,
    eBwdMat,
    eIProductWRTBase,
    eIProductWRTDerivBase0,
    eIProductWRTDerivBase1,
    eIProductWRTDerivBase2,
    eDerivBase0,
    eDerivBase1,
    eDerivBase2,
    eHelmholtz,
    eHelmholtzGJP,
    eHybridDGHelmholtz,
    eInvHybridDGHelmholtz,
    eHybridDGHelmBndLam,
    eHybridDGLamToQ0,
    eHybridDGLamToQ1,
    eHybridDGLamToQ2,
    eHybridDGLamToU,
    eFwdTrans,
    ePreconR,
    ePreconRMass,
    ePreconLinearSpace,
    ePreconLinearSpaceMass,
    eInterpGauss,
    eGaussDG,
    ePhysInterpToEquiSpaced,
    eEquiSpacedToCoeffs,
    eNormDerivOnTrace,
    SIZE_MatrixType
};
 
const char *const MatrixTypeMap[] = {"Mass",
                                     "Mass wiht Diagonal GJP",
                                     "InvMass",
                                     "Laplacian",
                                     "Laplacian00",
                                     "Laplacian01",
                                     "Laplacian02",
                                     "Laplacian10",
                                     "Laplacian11",
                                     "Laplacian12",
                                     "Laplacian20",
                                     "Laplacian21",
                                     "Laplacian22",
                                     "InvLaplacianWithUnityMean",
                                     "WeakDeriv0",
                                     "WeakDeriv1",
                                     "WeakDeriv2",
                                     "WeakDirectionalDeriv",
                                     "MassLevelCurvature",
                                     "LinearAdvectionReaction",
                                     "LinearAdvectionDiffusionReaction",
                                     "NBasisTrans",
                                     "InvNBasisTrans",
                                     "BwdTrans",
                                     "BwdMat",
                                     "IProductWRTBase",
                                     "IProductWRTDerivBase0",
                                     "IProductWRTDerivBase1",
                                     "IProductWRTDerivBase2",
                                     "DerivBase0",
                                     "DerivBase1",
                                     "DerivBase2",
                                     "Helmholtz",
                                     "Helmholtz with Diagonal GJP",
                                     "HybridDGHelmholz",
                                     "InvHybridDGHelmholtz",
                                     "HybridDGHelmBndLam",
                                     "HybridDGLamToQ0",
                                     "HybridDGLamToQ1",
                                     "HybridDGLamToQ2",
                                     "HybridDGLamToU",
                                     "FwdTrans",
                                     "PreconR",
                                     "PreconRMass",
                                     "PreconLinearSpace",
                                     "PreconLinearSpaceMass",
                                     "InterpGauss",
                                     "GaussDG",
                                     "PhysInterpToEquiSpaced",
                                     "EquiSpacedToCoeffs",
                                     "NormDerivOnTrace"};
 
enum VarCoeffType
{
    eVarCoeffMass,
    eVarCoeffLaplacian,
    eVarCoeffWeakDeriv,
    eVarCoeffD00,
    eVarCoeffD11,
    eVarCoeffD22,
    eVarCoeffD01,
    eVarCoeffD02,
    eVarCoeffD12,
    eVarCoeffVelX,
    eVarCoeffVelY,
    eVarCoeffVelZ,
    eVarCoeffMF1x,
    eVarCoeffMF1y,
    eVarCoeffMF1z,
    eVarCoeffMF1Div,
    eVarCoeffMF1Mag,
    eVarCoeffMF2x,
    eVarCoeffMF2y,
    eVarCoeffMF2z,
    eVarCoeffMF2Div,
    eVarCoeffMF2Mag,
    eVarCoeffMF3x,
    eVarCoeffMF3y,
    eVarCoeffMF3z,
    eVarCoeffMF3Div,
    eVarCoeffMF3Mag,
    eVarCoeffMF,
    eVarCoeffMFDiv,
    eVarCoeffGmat,
    eVarCoeffGJPNormVel,
    SIZE_VarCoeffType
};
 
const char *const VarCoeffTypeMap[] = {
    "VarCoeffMass",      "VarCoeffLaplacian", "VarCoeffWeakDeriv",
    "VarCoeffD00",       "VarCoeffD11",       "VarCoeffD22",
    "VarCoeffD01",       "VarCoeffD02",       "VarCoeffD12",
    "VarCoeffVelX",      "VarCoeffVelY",      "VarCoeffVelZ",
    "VarCoeffMF1x",      "VarCoeffMF1y",      "VarCoeffMF1z",
    "VarCoeffMF1Div",    "VarCoeffMF1Mag",    "VarCoeffMF2x",
    "VarCoeffMF2y",      "VarCoeffMF2z",      "VarCoeffMF2Div",
    "VarCoeffMF2Mag",    "VarCoeffMF3x",      "VarCoeffMF3y",
    "VarCoeffMF3z",      "VarCoeffMF3Div",    "VarCoeffMF3Mag",
    "VarCoeffMF",        "VarCoeffMFDiv",     "VarCoeffGmat",
    "VarCoeffGJPNormVel"};
typedef std::map<StdRegions::VarCoeffType, Array<OneD, NekDouble>> VarCoeffMap;
static VarCoeffMap NullVarCoeffMap;
 
enum ConstFactorType
{
    eFactorLambda,
    eFactorCoeffD00,
    eFactorCoeffD11,
    eFactorCoeffD22,
    eFactorCoeffD01,
    eFactorCoeffD02,
    eFactorCoeffD12,
    eFactorTau,
    eFactorTime,
    eFactorSVVCutoffRatio,
    eFactorSVVDiffCoeff,
    eFactorSVVPowerKerDiffCoeff,
    eFactorSVVDGKerDiffCoeff,
    eFactorGaussVertex,
    eFactorGaussEdge,
    eFactorGJP,
    eFactorConst,
    SIZE_ConstFactorType
};
 
const char *const ConstFactorTypeMap[] = {"FactorLambda",
                                          "FactorCoeffD00",
                                          "FactorCoeffD11",
                                          "FactorCoeffD22",
                                          "FactorCoeffD01",
                                          "FactorCoeffD02",
                                          "FactorCoeffD12",
                                          "FactorTau",
                                          "FactorTime",
                                          "FactorSVVCutoffRatio",
                                          "FactorSVVDiffCoeff",
                                          "FactorSVVPowerKerDiffCoeff",
                                          "FactorSVVDGKerDiffCoeff",
                                          "FactorGaussVertex",
                                          "FactorGaussEdge",
                                          "FactorGJP",
                                          "FactorConstant"};
typedef std::map<ConstFactorType, NekDouble> ConstFactorMap;
static ConstFactorMap NullConstFactorMap;
 
// FactorMap
typedef ConstFactorMap FactorMap;
static FactorMap NullFactorMap;
 
enum Orientation
{
    eNoOrientation,
    eFwd,
    eBwd,
    eForwards,
    eBackwards,
    eDir1FwdDir1_Dir2FwdDir2, // These flags are interpreted as
    eDir1FwdDir1_Dir2BwdDir2, // taking the second direction to the
    eDir1BwdDir1_Dir2FwdDir2, // first direction. So Dir1FwdDir2 takes
    eDir1BwdDir1_Dir2BwdDir2, // direction 2 and makes it backward
    eDir1FwdDir2_Dir2FwdDir1, // to direction 1 in the mapped face.
    eDir1FwdDir2_Dir2BwdDir1, // Note be careful not to flip this
    eDir1BwdDir2_Dir2FwdDir1, // convention especially when using
    eDir1BwdDir2_Dir2BwdDir1, // transposed mappings.
    SIZE_Orientation
};
 
const char *const OrientationMap[] = {"NoOrientation",
                                      "Fwd",
                                      "Bwd",
                                      "Forwards",
                                      "Backwards",
                                      "Dir1FwdDir1_Dir2FwdDir2",
                                      "Dir1FwdDir1_Dir2BwdDir2",
                                      "Dir1BwdDir1_Dir2FwdDir2",
                                      "Dir1BwdDir1_Dir2BwdDir2",
                                      "Dir1FwdDir2_Dir2FwdDir1",
                                      "Dir1FwdDir2_Dir2BwdDir1",
                                      "Dir1BwdDir2_Dir2FwdDir1",
                                      "Dir1BwdDir2_Dir2BwdDir1"};
 
// Defines a "fast find"
// Assumes that first/last define the beginning/ending of
// a continuous range of classes, and that start is
// an iterator between first and last
 
template <class InputIterator, class EqualityComparable>
InputIterator find(InputIterator first, InputIterator last,
                   InputIterator startingpoint, const EqualityComparable &value)
{
    InputIterator val;
 
    if (startingpoint == first)
    {
        val = find(first, last, value);
    }
    else
    {
        val = find(startingpoint, last, value);
        if (val == last)
        {
            val = find(first, startingpoint, value);
            if (val == startingpoint)
            {
                val = last;
            }
        }
    }
    return val;
}
 
// Optimized Kernel Entries
const int kSVVDGFiltermodesmin = 3;
const int kSVVDGFiltermodesmax = 11;
// Optimized Kernel Entries for p = 2 - 10
const NekDouble kSVVDGFilter[9][11] = {
    {0, 0.36212, 1, 0, 0, 0, 0, 0, 0, 0, 0},
    {0, 0.70546, 0.078836, 1, 0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0.49411, 0.072394, 1, 0, 0, 0, 0, 0, 0},
    {0, 0, 0.000073566, 0.40506, 0.094122, 1, 0, 0, 0, 0, 0},
    {0, 0, 0, 0.0001422, 0.36863, 0.11815, 1, 0, 0, 0, 0},
    {0, 0, 0, 0, 0.00019497, 0.41397, 0.16927, 1, 0, 0, 0},
    {0, 0, 0, 0, 0, 0.0009762, 0.12747, 0.13763, 1, 0, 0},
    {0, 0, 0, 0, 0, 0, 0.0023592, 0.23683, 0.17196, 1, 0},
    {0, 0, 0, 0, 0, 0, 0, 0.0026055, 0.28682, 0.22473, 1}};
 
} // namespace StdRegions
} // namespace Nektar
 
#endif // STDREGIONS_H